A fruit seller sells only mangoes and peaches. The ratio of mangoes to peaches is 1 : 2. A total of 114 fruits are added. The number of mangoes becomes 3 times as many as before and the number of peaches becomes 3 times as many as before. How many fruits are there at first?

	Comparing mangoes at first and in the end	Mangoes	Peaches	Comparing peaches at first and in the end
Before	1x1 = 1 u	1 u	2 u	1x2 = 2 u
Change		+ 114
After	3x1 = 3 u	3 u	6 u	3x2 = 6 u

The number of peaches at first is repeated.  Make the number of peaches at first the same.  LCM of 1 and 2 is 2.

The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 1 and 1 is 1.

Number of fruits at first
= 1 u + 2 u
= 3 u

Number of fruits in the end
= 3 u + 6 u
= 9 u

Number of fruits added
= 9 u - 3 u 
= 6 u

6 u = 114

1 u = 114 ÷ 6 = 19

Number of fruits at first
= 3 u
= 3 x 19
= 57

Answer(s): 57